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Titlebook: Stochastic Analysis and Related Topics VI; Proceedings of the S Laurent Decreusefond,Bernt Øksendal,Ali Süleyman Ü Conference proceedings 1

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Backward Stochastic Differential Equations and Viscosity Solutions of Systems of Semilinear Parabolitime ago, both as the equations for the adjoint process in stochastic control, as well as the model behind the Black and Scholes formula for the pricing and hedging of options in mathematical finance. These linear BSDEs can be solved more or less explicitly (see proof of Theorem 1.4).
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Smoothness of the Solution Operator of Stochastic Differential Equations with Infinite Dimensional Presults with respect to finite dimensional parameters. The result is used to show differentiability with respect to the coefficients of SDEs. Possible applications in stochastic optimal control and for approximating solutions of SDEs are given.
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Backward Stochastic Differential Equations and Viscosity Solutions of Systems of Semilinear Paraboliutions of systems of semilinear second order partial differential equations of parabolic and elliptic type, in short PDEs. Linear BSDEs appeared long time ago, both as the equations for the adjoint process in stochastic control, as well as the model behind the Black and Scholes formula for the prici
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Stochastic Analysis on Lie Groupsability measures which correspond to the Lie-Stratonovitch exponentiation of the Brownian path in the corresponding Lie algebra. In the last section we give some new results about the quasi-invariance of the anticipative left-shifts and the associated degree theorem for the paths and based loops.
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A Conditional Independence Property for the Solution of a Linear Stochastic Differential Equation witic differential equation.on [0, 1], with the lateral condition. where 0 ≤ .. < … < .. ≤ 1 and α., .. ∈ ℝ. We prove that the solution to this system, considered as the vector .(.) = (..(.),…, .(.), .(.)), is not a Markov field in general but satisfies a weaker conditional independence property.
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Non-Kolmogorov Probabilistic Models with ,-adic Probabilities and Foundations of Quantum Mechanicsat the Kol-mogorov axiomatic approach [1], 1933, to the modern theory of probability cannot describe all probabilistic phenomena observed in nature. Hence, the theory of probability based on this axiomatic approach is not a unique and universal probabilistic formalism. It is only one model, namely,
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Smoothness of the Solution Operator of Stochastic Differential Equations with Infinite Dimensional Png in the coefficients of the SDEs, if these coefficients themselves depend smoothly on the parameters. This result is a generalization of smoothness results with respect to finite dimensional parameters. The result is used to show differentiability with respect to the coefficients of SDEs. Possible
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